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Finding the Fourth Proportional to 280,554.72, 386,909.10 and 219,309

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Solution

The fourth proportional to 280,554.72, 386,909.10 and 219,309 is: 302,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,554.72 : 386,909.10 = 219,309 : x
  2. Step 2: Convert to fraction form
    280,554.72/386,909.10 = 219,309/x
  3. Step 3: Cross multiply
    280,554.72x = 386,909.10 × 219,309
  4. Step 4: Simplify right side
    280,554.72x = 84,852,647,811.90
  5. Step 5: Solve for x
    x = 84,852,647,811.90/280,554.72
  6. Step 6: Final answer
    x = 302,445.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.